Find the area of the regular polygon. Give the answer to the nearest tenth. a hexagon with a radius of 12.5 ft
65.0 ft2
129.9 ft2
259.8 ft2
406.1 ft2
The formula for the area of a regular polygon is A = (1/2) * perimeter * apothem.
In this case, we are calculating the area of a regular hexagon, which has 6 sides. The perimeter of a regular polygon can be calculated by multiplying the number of sides by the length of one side, which in this case is 2 * radius = 2 * 12.5 ft = 25 ft.
So, the perimeter of the hexagon is 25 ft * 6 sides = 150 ft.
The apothem of a regular hexagon is equal to the radius of the circumscribed circle, so the apothem is also 12.5 ft.
Now, we can calculate the area using the formula:
A = (1/2) * 150 ft * 12.5 ft = 937.5 ft2
Rounded to the nearest tenth, the area of the regular hexagon with a radius of 12.5 ft is approximately 937.5 ft2.
Therefore, none of the given options are correct.